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Finding the Fourth Proportional to 494,113.80, 681,364.26 and 422,730.12

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Solution

The fourth proportional to 494,113.80, 681,364.26 and 422,730.12 is: 582,928.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,113.80 : 681,364.26 = 422,730.12 : x
  2. Step 2: Convert to fraction form
    494,113.80/681,364.26 = 422,730.12/x
  3. Step 3: Cross multiply
    494,113.80x = 681,364.26 × 422,730.12
  4. Step 4: Simplify right side
    494,113.80x = 288,033,195,393.51
  5. Step 5: Solve for x
    x = 288,033,195,393.51/494,113.80
  6. Step 6: Final answer
    x = 582,928.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.